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Finding the Fourth Proportional to 397,907.56, 549,151.14 and 297,130.60

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Solution

The fourth proportional to 397,907.56, 549,151.14 and 297,130.60 is: 410,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,907.56 : 549,151.14 = 297,130.60 : x
  2. Step 2: Convert to fraction form
    397,907.56/549,151.14 = 297,130.60/x
  3. Step 3: Cross multiply
    397,907.56x = 549,151.14 × 297,130.60
  4. Step 4: Simplify right side
    397,907.56x = 163,169,607,718.88
  5. Step 5: Solve for x
    x = 163,169,607,718.88/397,907.56
  6. Step 6: Final answer
    x = 410,069.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.